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Finding the Fourth Proportional to 354,478.28, 489,227.04 and 225,428.94

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Solution

The fourth proportional to 354,478.28, 489,227.04 and 225,428.94 is: 311,121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,478.28 : 489,227.04 = 225,428.94 : x
  2. Step 2: Convert to fraction form
    354,478.28/489,227.04 = 225,428.94/x
  3. Step 3: Cross multiply
    354,478.28x = 489,227.04 × 225,428.94
  4. Step 4: Simplify right side
    354,478.28x = 110,285,933,046.54
  5. Step 5: Solve for x
    x = 110,285,933,046.54/354,478.28
  6. Step 6: Final answer
    x = 311,121.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.